Answered: The topic is all about the Angular…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The topic is all about the Angular Motion of Particles. Please use pen and paper to solve and also use three decimal places. Please show the conversion solution. Thank you.

Here are the formulas and discussion:

θ=θ_o+ω_o t+1/2 αt^2

ω=ω_0+αt

ω^2=ω_o^2+2α(θ-θ_o)

considering the tangential and normal components of the acceleration in a curvilinear motion of particles:

a_t=rα

a_n=rω^2=vω

The angular motion may be derived from the translational motion of particles by considering the given circle:

s=rθ

ds/dt=r dθ/dt or v=rω

dv/dt=r dω/dt or a=rα

P.S. I provide also the answer but show me the complete solution on how to get that answer

Pulley B:
(RB),wB
40 × 12 = 20W B
WB = 24 rad/s «
(RB),CB
- 28 x 12 = 200B
aB = -16.8 rad/s?
a
Belt between B and C:
(RB);WB = 8(24) = 192 in./s
a'
(Rв); ав 3 8(-16.8) — — 134.4 in./s
%3D
Pulley C:
Rowc
192 = 24wC
wc = 8.0 rad/s
a'
Rcac
- 134.4 = 24ac
ac = -5.60 rad/s? 1

The velocity and acceleration of the belt running between the motor A and the pulley B are
v = 16" and a = -9, respectively. Determine the angular velocities and angular
accelerations of pulleys B and C.
-100
250
A
B
V, a
Dimensions in mm
00-

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